Answer:
429.42 cm
Step-by-step explanation:
<u>Volume of a rectangle prism:</u>
V = whl
V = (5)(12)(7)
V = 420
<u>Volume of a cylinder:</u>
V = πr²h
V = (3.14)(1²)(3)
V = (3.14)(1)(3)
V = 9.42
<u>Combined:</u>
420 + 9.42
429.42
a. The reason why this question is a binomial experiment is based on the fact that it is made up of an independent sample, it has a number that is fixed and a probability.
Each event is made up of two outcomes and they are random with the same success rate.
<h3>b. How to solve probability that exactly 5 had a bachelor</h3>
we have the following data n = 12, p = 0.27 and k = 5
We have to use the function to solve electronically
binompdf(n,p,k)
input the values
= binompdf(12,0.27,5)
This gives us
= 0.1255
<h3>(C) Probability that fewer than 5 have bachelor</h3>
We use the formula below
= binompdf(12,0.27,5-1)
This is = 0.7984
D. Probability of at least 5
1 - probability of fewer than 5
= 1 - 0.7984
= 0.2016
How to solve for the Mean = n*p
n = 12 , p = 0.27
Mean = 12*0.27 = 3.24
and
standard deviation = √npq
n = 12, p = 0.27 , q = 1- 0.27
= 0.73
sd = √12*.27*.73
= 1.54
Read more on binomial experiment here:
brainly.com/question/9325204
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Answer:
I just finished this in math :) I'm pretty sure it's -3<x<2
Answer:
9 minutes
Step-by-step explanation:
12 divided by 1.5 is 9.
The magnitude and the direction angle for the resultant vector are 10N and 120degrees respectively
The formula for calculating the resultant vector is expressed as:
Given the following distances:
u = -5√3 feet (west direction)
v = 5 feet
Substitute the given values into the formula above;
The magnitude of the resultant vector is 10feet
Get the direction:
Since tan is negative in the second quadrant, hence;
Hence the magnitude and the direction angle for the resultant vector are 10N and 120degrees respectively.
Learn more here: brainly.com/question/5177683
